Batman is so popular because he is, in many ways, the most malleable of the comic book heroes. You can do anything from Adam West camp to the darkest grimdark with him, and it doesn't necessarily feel out of place or out of character. So not matter what type of story you prefer, you can find Batman stories that fit your tastes.

Sure, with a lot of comic book heroes, a lot "depends on the writer", but for the most part, with other heroes, some of the more extreme portrayals just feel "wrong".